Question
Download Solution PDF\(1+\frac{1}{1+\frac{1}{5+\frac{1}{2+\frac{1}{3}}}}\) का मान है
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
व्यंजक: \(1+\frac{1}{1+\frac{1}{5+\frac{1}{2+\frac{1}{3}}}}\)
गणनाएँ:
चरण 1: सबसे अंदरूनी भिन्न को सरल करें।
⇒ \(2+\frac{1}{3} = \frac{6+1}{3} = \frac{7}{3}\)
चरण 2: अगले भिन्न में प्रतिस्थापित करें।
⇒ \(5+\frac{1}{\frac{7}{3}} = 5+\frac{3}{7} = \frac{35+3}{7} = \frac{38}{7}\)
चरण 3: अगले भिन्न में प्रतिस्थापित करें।
⇒ \(1+\frac{1}{\frac{38}{7}} = 1+\frac{7}{38} = \frac{38+7}{38} = \frac{45}{38}\)
चरण 4: अंतिम व्यंजक में प्रतिस्थापित करें।
⇒ \(1+\frac{1}{\frac{45}{38}} = 1+\frac{38}{45} = \frac{45+38}{45} = \frac{83}{45}\)
∴ मान \(\frac{83}{45}\) = \(1 \frac{38}{45}\) है।
Last updated on Jun 17, 2025
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